What is the equation for the hyperbola shown?

ANSWER

EXPLANATION

The given hyperbola has a vertical transverse axis and its center is at the origin.

The standard equation of such a parabola is:

Where 2a=10 is the length of the transverse axis and 2b=16 is the length of the conjugate axis.

This implies that

Hence the required equation of the hyperbola is:

This simplifies to,

Step-by-step explanation:

We have been given an image of a hyperbola. We are asked to write an equation for our given hyperbola.

We can see that our given hyperbola is a vertical hyperbola as it opens upwards and downwards.

We know that equation of a vertical hyperbola is in form , where, represents center of hyperbola.

'a' is vertex of hyperbola and 'b' is co-vertex.

We can see that center of parabola is at origin (0,0).

We can see that vertex of parabola is at point , so value of a is 5.

We can see that co-vertex of parabola is at point , so value of b is 8.

Therefore, our required equation would be .

c

step-by-step explanation:

at least i think its

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt